What is (6-sqrt(x+4))^2 ?

The solution to (6-sqrt(x+4))^2 is x-12sqrt(x+4)+40

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simplify (6-sqrt(x+4))^2

simplify

(6 - x + 4)^{2}

x - 12 x + 4 + 40

Solution steps

(6 - x + 4)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(6 - x + 4)^{2} = 6^{2} - 2 \cdot 6 x + 4 + (x + 4)^{2}

= 6^{2} - 2 \cdot 6 x + 4 + (x + 4)^{2}

Simplify

6^{2} - 2 \cdot 6 x + 4 + (x + 4)^{2} : x - 12 x + 4 + 40

= x - 12 x + 4 + 40

\frac{( x + 3 ) ^{2}}{4}

(x + 3) (x + 3)^{3}

\frac{1 - e ^{- λ (t + x)}}{1 - e ^{- λ t}}

(x - 2) \cdot e^{x}

\frac{1}{( s + 2 ) ( s + 4 ) ( s + 6 )}